Name __________________ Date ______
Algebra I
Unit 8 Day 1 Adding, Subtracting and Classifying Polynomials

Today we will learn how to identify polynomials and determine the degree, leading coefficient and classification. We will also learn how to add and subtract polynomials.

By the end of class you will be able to add, subtract and classify polynomials.
Warm Up
Simplify.
1) 2x(x – 4) + 3x 2) -3(5x – 4) + 6(x + 1)
Monomial – a number, a variable or the product of a number and one or more variables with ____________ number exponents.
Polynomial - a monomial or a _______ or __________________of monomials.
A polynomial cannot have a power that is _____________or is a
__________.
Always write polynomials in standard form, from highest ___________to no exponent.
After writing a polynomial in standard form, the highest power is the
_______________.
The number in front of the variable to the highest power is the ______________
____________________.

Expression Is it a polynomial?
Degree Leading
Coefficient
Classification
7
8x x n
3x
2
+ x – 2 x

2
+ 4
10xy
2
+ 3x
4 y
5x – 6
14 + x – 2x 2
3x - x 7 -9 + 5x 2
To add or subtract polynomials, put in ______________ form.
Add or subtract terms with the same __________ and _______________.
(5x
2
+ 6x – 4) + (x
2
- 2x + 7)
(3x
3
+ 9) + (4x + 2x
2
- 5)
(x
2
– 5 + 3x) + (-3x
2
+7x – 4)
(x 2 – 5x + 4) + (4x 2 + 7)

(11x
2
+ x + 3) - (4x
2
- 5x + 8)
(9x 2 – 3x + 11) – (4x 2 – 7)
(x 2 + 7x - 10) – (-2x 2 -4x + 1)
(7x 2 + 5) – (8 + 4x – 3x 2 )
Write a polynomial that represents the perimeter of the figure. x + 6 3x - 1
2x + 8
You try.
Are the following polynomials? If so, identify the degree, leading coefficient and type.
1) 4x 3 – 2x 2 + 6x – 3 2) -2x 3 – 2x -2 + 6x – 3 polynomial _____ degree _____ polynomial _____ degree _____ leading coefficient _____ type _____________ leading coefficient _____ type __________

3) 5x 8 polynomial _____ degree _____ leading coefficient _____ type _____________
Perform the indicated operation.
5) (3x 2 - 11x + 2) + (x 2 + 2x – 3)
6) (9x 3 - 4x + 7) – (2x 3 + 6x 2 + 8x – 3)
4) 5 – 7x 2 + 9x polynomial _____ degree _____ leading coefficient _____ type _____________
7) Write a polynomial that represents the perimeter of the figure.
2x - 6
4x - 4
x + 2
3x + 2